A higher-dimensional sieve method: with procedures for computing sieve functions
Nearly a hundred years have passed since Viggo Brun invented his famous sieve, and the use of sieve methods is constantly evolving. As probability and combinatorics have penetrated the fabric of mathematical activity, sieve methods have become more versatile and sophisticated and in recent years hav...
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge
Cambridge University Press
2008
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Schriftenreihe: | Cambridge tracts in mathematics
177 |
Schlagworte: | |
Online-Zugang: | BSB01 FHN01 UBR01 Volltext |
Zusammenfassung: | Nearly a hundred years have passed since Viggo Brun invented his famous sieve, and the use of sieve methods is constantly evolving. As probability and combinatorics have penetrated the fabric of mathematical activity, sieve methods have become more versatile and sophisticated and in recent years have played a part in some of the most spectacular mathematical discoveries. Many arithmetical investigations encounter a combinatorial problem that requires a sieving argument, and this tract offers a modern and reliable guide in such situations. The theory of higher dimensional sieves is thoroughly explored, and examples are provided throughout. A Mathematica software package for sieve-theoretical calculations is provided on the authors' website. To further benefit readers, the Appendix describes methods for computing sieve functions. These methods are generally applicable to the computation of other functions used in analytic number theory. The appendix also illustrates features of Mathematica which aid in the computation of such functions |
Beschreibung: | 1 Online-Ressource (xxi, 266 Seiten) |
ISBN: | 9780511542909 |
DOI: | 10.1017/CBO9780511542909 |
Internformat
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520 | |a Nearly a hundred years have passed since Viggo Brun invented his famous sieve, and the use of sieve methods is constantly evolving. As probability and combinatorics have penetrated the fabric of mathematical activity, sieve methods have become more versatile and sophisticated and in recent years have played a part in some of the most spectacular mathematical discoveries. Many arithmetical investigations encounter a combinatorial problem that requires a sieving argument, and this tract offers a modern and reliable guide in such situations. The theory of higher dimensional sieves is thoroughly explored, and examples are provided throughout. A Mathematica software package for sieve-theoretical calculations is provided on the authors' website. To further benefit readers, the Appendix describes methods for computing sieve functions. These methods are generally applicable to the computation of other functions used in analytic number theory. The appendix also illustrates features of Mathematica which aid in the computation of such functions | ||
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Datensatz im Suchindex
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author | Diamond, Harold G. 1940- |
author_GND | (DE-588)142256420 (DE-588)110488385 (DE-588)142322970 |
author_facet | Diamond, Harold G. 1940- |
author_role | aut |
author_sort | Diamond, Harold G. 1940- |
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dewey-full | 512.73 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 512 - Algebra |
dewey-raw | 512.73 |
dewey-search | 512.73 |
dewey-sort | 3512.73 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1017/CBO9780511542909 |
format | Electronic eBook |
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illustrated | Not Illustrated |
indexdate | 2024-07-10T07:39:16Z |
institution | BVB |
isbn | 9780511542909 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350616 |
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spelling | Diamond, Harold G. 1940- Verfasser (DE-588)142256420 aut A higher-dimensional sieve method with procedures for computing sieve functions Harold G. Diamond, H. Halberstam, William F. Galway Cambridge Cambridge University Press 2008 1 Online-Ressource (xxi, 266 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge tracts in mathematics 177 Nearly a hundred years have passed since Viggo Brun invented his famous sieve, and the use of sieve methods is constantly evolving. As probability and combinatorics have penetrated the fabric of mathematical activity, sieve methods have become more versatile and sophisticated and in recent years have played a part in some of the most spectacular mathematical discoveries. Many arithmetical investigations encounter a combinatorial problem that requires a sieving argument, and this tract offers a modern and reliable guide in such situations. The theory of higher dimensional sieves is thoroughly explored, and examples are provided throughout. A Mathematica software package for sieve-theoretical calculations is provided on the authors' website. To further benefit readers, the Appendix describes methods for computing sieve functions. These methods are generally applicable to the computation of other functions used in analytic number theory. The appendix also illustrates features of Mathematica which aid in the computation of such functions Sieves (Mathematics) Zahlentheorie (DE-588)4067277-3 gnd rswk-swf Siebmethode (DE-588)4181206-2 gnd rswk-swf Siebmethode (DE-588)4181206-2 s Zahlentheorie (DE-588)4067277-3 s DE-604 Halberstam, Heini 1926-2014 Sonstige (DE-588)110488385 oth Galway, William F. Sonstige (DE-588)142322970 oth Erscheint auch als Druck-Ausgabe 978-0-521-89487-6 https://doi.org/10.1017/CBO9780511542909 Verlag URL des Erstveröffentlichers Volltext |
spellingShingle | Diamond, Harold G. 1940- A higher-dimensional sieve method with procedures for computing sieve functions Sieves (Mathematics) Zahlentheorie (DE-588)4067277-3 gnd Siebmethode (DE-588)4181206-2 gnd |
subject_GND | (DE-588)4067277-3 (DE-588)4181206-2 |
title | A higher-dimensional sieve method with procedures for computing sieve functions |
title_auth | A higher-dimensional sieve method with procedures for computing sieve functions |
title_exact_search | A higher-dimensional sieve method with procedures for computing sieve functions |
title_full | A higher-dimensional sieve method with procedures for computing sieve functions Harold G. Diamond, H. Halberstam, William F. Galway |
title_fullStr | A higher-dimensional sieve method with procedures for computing sieve functions Harold G. Diamond, H. Halberstam, William F. Galway |
title_full_unstemmed | A higher-dimensional sieve method with procedures for computing sieve functions Harold G. Diamond, H. Halberstam, William F. Galway |
title_short | A higher-dimensional sieve method |
title_sort | a higher dimensional sieve method with procedures for computing sieve functions |
title_sub | with procedures for computing sieve functions |
topic | Sieves (Mathematics) Zahlentheorie (DE-588)4067277-3 gnd Siebmethode (DE-588)4181206-2 gnd |
topic_facet | Sieves (Mathematics) Zahlentheorie Siebmethode |
url | https://doi.org/10.1017/CBO9780511542909 |
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